mscroggs.co.uk
mscroggs.co.uk

subscribe

Sunday Afternoon Maths L

 Posted on 2016-01-10 

Between quadratics

Source: Luciano Rila (@DrTrapezio)
\(p(x)\) is a quadratic polynomial with real coefficients. For all real numbers \(x\),
$$x^2-2x+2\leq p(x)\leq 2x^2-4x+3$$
\(p(11)=181\). Find \(p(16)\).

Show answer

If you enjoyed these puzzles, check out Sunday Afternoon Maths LXVII,
puzzles about circles, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Tags

coins cube numbers chess mean christmas wordplay time chalkdust crossnumber prime numbers doubling factors number dice crossnumbers games coordinates ellipses multiples square roots unit fractions calculus folding tube maps parabolas square numbers trigonometry geometry integers floors fractions division angles dodecagons books grids integration colouring perfect numbers partitions chocolate numbers sport rugby pascal's triangle quadratics regular shapes speed rectangles money shapes planes menace area probability surds perimeter sums cryptic clues percentages symmetry polygons algebra taxicab geometry logic sequences 3d shapes multiplication graphs probabilty 2d shapes routes odd numbers digits lines clocks factorials hexagons balancing averages dates complex numbers means ave cryptic crossnumbers cards triangles star numbers scales advent irreducible numbers arrows indices spheres squares volume remainders people maths addition crosswords proportion differentiation shape palindromes triangle numbers sum to infinity bases functions circles

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2019